On the Fourier Transform Related to the Diamond Klein - Gordon Kernel

Abstract

In this article, we study the fundamental solution of the operator $${((\diamond +m^2)\left(\frac{{\mathrm{△}}^2+{⊡}^2}{2}\right))}^k$$, iterated $k$-times and is defined by ($\text{???}$),where $m$ is a nonnegative real number, and $k$ is a nonnegative integer. After that, we study the Fourier transform of the operator ${((\diamond +m^2)\left(\frac{{\mathrm{△}}^2+{⊡}^2}{2}\right))}^k\delta$